论文标题
边界多面体表面的刚度
Rigidity of bordered polyhedral surfaces
论文作者
论文摘要
本文研究了边界多面体表面的刚度。使用变分原理，我们表明，边界的多面体表面由内部边缘上的边界值和离散曲率确定。作为推论，我们遵守经典的结果，即如果它们的侧面长度相等，则两个欧几里得循环多边形（或双曲线循环多边形）是一致的。
This paper investigates the rigidity of bordered polyhedral surfaces. Using the variational principle, we show that bordered polyhedral surfaces are determined by boundary value and discrete curvatures on the interior edges. As a corollary, we reprove the classical result that two Euclidean cyclic polygons (or hyperbolic cyclic polygons) are congruent if the lengths of their sides are equal.
